• RELIABILITY ANALYSIS OF A TWO NON-IDENTICAL UNIT SYSTEM WITH INSPECTION AND DIFFERENT REPAIRS/REPLACEMENT POLICIES

KAILASH KUMAR*, NEERAJ**, ASHUTOSH AWASTHI***

Abstract


This paper presents the reliability and availability measures of a two non-identical unit system, one is priority (p) and other is ordinary (o) unit, with inspection and different repairs/replacement policies. The p-unit has three modes (normal, partial failure and total failure) and o-unit has only two modes (normal and total failure). Upon partial failure of p-unit, it first goes for inspection to decide that whether the unit goes for online repair or offline repair while if o-unit fails it replaced by the new one since it is non-reparable. A single repair facility is always available for inspection, repair (online/offline and total failed) of p-unit and to replace the failed o-unit. After giving basic definitions and notations, we obtain various measures of system effectiveness, reliability, availability due to a unit in N-mode and P-mode, mean time to system failure, busy period of repair facility due to inspection of failed unit, repair of totally failed unit, online/offline repair of partially failed unit and replacement of a failed unit and the expected profit function, of interest to system designers and operation managers by using regenerative point technique. The graphical behaviors of MTSF and profit function have also been studied.


Keywords


Cold Standby, Mean sojourn time, Reliability, Availability, Busy period, Regenerative Point Technique.

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